具有谱节点的二维电子气的弱局域化方法
Weak-localization approach to a 2D electron gas with a spectral node
摘要:
我们研究了弱无序二维电子气的两个带和一个光谱节点内的弱局域化方法,并比较其结果与高斯波动周围的自洽玻恩近似。扩散模式的出现取决于无序的类型。特别是,我们发现一个随机间隙的扩散模式只从阶梯的贡献,而随机标量势的扩散模式是由阶梯和最大交叉的贡献。阶梯(最大交叉)的贡献对应于费米子(玻色子)高斯波动。我们从密度-密度Kubo公式计算电导率修正,并发现与实验观察到的石墨烯的V形电导率很好的协议。
英文摘要:
We study a weakly disordered 2D electron gas with two bands and a spectral node within the weak-localization approach and compare its results with those of Gaussian fluctuations around the self-consistent Born approximation. The appearance of diffusive modes depends on the type of disorder. In particular, we find for a random gap a diffusive mode only from ladder contributions, whereas for a random scalar potential the diffusive mode is created by ladder and by maximally crossed contributions. The ladder (maximally crossed) contributions correspond to fermionic (bosonic) Gaussian fluctuations. We calculate the conductivity corrections from the density--density Kubo formula and find a good agreement with the experimentally observed V-shape conductivity of graphene.
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